degree:4
 order:18
[ 4, 4, 1, 4, 4 ][ 2, 0, 0, 1, 0, 2, 0, 0, 1, 2 ]

minimal polynomial:[ x-4, x-2, x-1, x+1, x+2, x+4 ]x^3-3*x^2-6*x+8
x^2-1
x^6-21*x^4+84*x^2-64
x^3-3*x^2-6*x+8

 SITA:
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 4, 0, 0, 0, 0 ], [ 1, 0, 2, 0, 0, 1 ], [ 0, 2, 0, 0, 2, 0 ], 
      [ 0, 0, 0, 0, 0, 4 ], [ 0, 0, 2, 0, 0, 2 ], [ 0, 1, 0, 1, 2, 0 ] ], 
  [ [ 0, 0, 4, 0, 0, 0 ], [ 0, 2, 0, 0, 2, 0 ], [ 1, 0, 1, 0, 0, 2 ], 
      [ 0, 0, 0, 0, 4, 0 ], [ 0, 2, 0, 1, 1, 0 ], [ 0, 0, 2, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 4, 0 ], [ 0, 0, 2, 0, 0, 2 ], [ 0, 2, 0, 1, 1, 0 ], 
      [ 0, 0, 4, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 2 ], [ 0, 2, 0, 0, 2, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 4 ], [ 0, 1, 0, 1, 2, 0 ], [ 0, 0, 2, 0, 0, 2 ], 
      [ 0, 4, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 2, 0 ], [ 1, 0, 2, 0, 0, 1 ] ] ]